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Finding the Third Proportional to 99,778.50 and 150,704.44

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Solution

The third proportional to 99,778.50 and 150,704.44 is: 227,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.50 : 150,704.44 = 150,704.44 : x
  2. Step 2: Convert to fraction form
    99,778.50/150,704.44 = 150,704.44/x
  3. Step 3: Cross multiply
    99,778.50x = 150,704.44 × 150,704.44
  4. Step 4: Simplify right side
    99,778.50x = 22,711,827,482.19
  5. Step 5: Solve for x
    x = 22,711,827,482.19/99,778.50
  6. Step 6: Final answer
    x = 227,622.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.